What is the Greatest Common Factor of 26936 and 26949?

Greatest common factor (GCF) of 26936 and 26949 is 13.

GCF(26936,26949) = 13

We will now calculate the prime factors of 26936 and 26949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26936 and 26949.

How to find the GCF of 26936 and 26949?

We will first find the prime factorization of 26936 and 26949. After we will calculate the factors of 26936 and 26949 and find the biggest common factor number .

Step-1: Prime Factorization of 26936

Prime factors of 26936 are 2, 7, 13, 37. Prime factorization of 26936 in exponential form is:

26936 = 2³ × 7¹ × 13¹ × 37¹

Step-2: Prime Factorization of 26949

Prime factors of 26949 are 3, 13, 691. Prime factorization of 26949 in exponential form is:

26949 = 3¹ × 13¹ × 691¹

Step-3: Factors of 26936

List of positive integer factors of 26936 that divides 26936 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 37, 52, 56, 74, 91, 104, 148, 182, 259, 296, 364, 481, 518, 728, 962, 1036, 1924, 2072, 3367, 3848, 6734, 13468

Step-4: Factors of 26949

List of positive integer factors of 26949 that divides 26936 without a remainder.

1, 3, 13, 39, 691, 2073, 8983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26936 and 26949. The biggest common factor number is the GCF number.
So the greatest common factor 26936 and 26949 is 13.

Also check out the Least Common Multiple of 26936 and 26949